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Old Apr 19th 2012, 12:11 PM   #1
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Join Date: Aug 2011
Posts: 7
Bicycle Pump

A push in the right direction is all I need (hopefully).

A bicycle pump has a stroke of 200mm and is being used to pump up a tyre that is at a pressure of 4 bar. If the pump is pushed slowly, what distance do I need to move the plunger for the air to be admitted to the tyre? What would the distance be if the pump were pushed quickly? Assume that the pump starts at an atmospheric pressure of 1 bar.

Givens
Stroke = 200mm
Tyre Pressure = 4 bar = 400,000 pa (1 bar is equal to 100,000 pascal.)
Pumpís starting atmospheric pressure = 1 bar = 100,000 pa.

Unknowns
Distance needed to move plunger slowly = ?
Distance needed to move plunger quickly = ?

I've understood this to be an Isothermal Processes and so Boyle's Law, p*V = constant, should apply somewhere, unfortunately I feel like I'm missing a vital clue on were to start. Please help me out if possible. Thank you.
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